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23 Nov 2019

If your car is stuck in the mud and you don’t have a winch to pullit out, you can use a piece of rope and a tree to do the trick.First, you tie one end of the rope to your car and the other to atree, then pull as hard as you can on the middle of the rope, asshown in the figure. This technique applies a force to the car muchlarger than the force that you can apply directly. To see why thecar experiences such a large force, look at the forces acting onthe center point of the rope, as shown in the figure. The sum ofthe forces is zero, thus the tension is much greater than the forceyou apply. It is this tension force that acts on the car and, withluck, pulls it free.

1.) The sum of the three forces acting on the center point of therope is assumed to be zero because
a.) this point has a very small mass
b.) tension forces in a rope always cancel
c.) this point is not accelerating
d.) the angle of deflection is very small.

2.) when you are pulling on the rope what is the approximatedirection of the tension force on the tree?
a.) north b.) south c.) east d.) west

3.) assume that you are pulling on the rope but the car is notmoving. what is the approximate direction of the force of the mudon the car?
a.) north b.) south c.) east d.) west

4.) suppose your efforts work, and the car begins to move forwardout of the mud. As it does so, the force of the car on the ropeis
a.) zero
b.) less than the force of the rope on the car
c.) equal to the force of the rope on the car
d.) greater than the force of the rope on the car.

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Deanna Hettinger
Deanna HettingerLv2
27 Apr 2019

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